Explore topic-wise InterviewSolutions in Current Affairs.

This section includes 7 InterviewSolutions, each offering curated multiple-choice questions to sharpen your Current Affairs knowledge and support exam preparation. Choose a topic below to get started.

1.

stop is barricaded from the remaining part of the road, by using 50 hollowA bus stoes made of recycled cardboard. Each cone has a base diameter of 40 cm and heightçonesIf the outer side of each of the cones is to be painted and the cost of painting ism.12 perm, what will be the cost of painting all these cones? (Use π = 3.14 and take104 1.02)

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2.

Find thejoining the points (7,3) and (-4,5). Also find the coordinatesof the point of intersection.ratio in which the y-axis divides the line segment2

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3.

24 cm. Find the area of the sheet requlleU0A bus stop is barricaded from the remaining part of the road. by using 50 hollowcones made of recycled cardboard. Each cone has a base diameter of 40 cm and heightI m. If the outer side of each of the cones is to be painted and the cost of painting is2 per m, what will be the cost ofpainting all these cones? (Use πV1.04 1.02)3, 14 and take

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4.

Distance between origin and a point on x-axis isa)c)4.x units「x unitsb) r unitsd) O

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5.

Find the value of a if the straight lines 5x 2y-9perpendicular to each other.0 and ay +2x-Il

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6.

Find the equations of the lines which are at a distance v3 units from the origin andpass through the point (2, 0).

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7.

Find the ratio in which line 3x t y 9 0 divides the line segment joining the points (1,3) and (2,7).

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8.

If (2,B) are the coordinates of themid point of the line segmentlidining the points, A. (21) & B=(-3)then, find the value of 3x²+2 ap + B²

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x 3 y 4 this will be ur answer

let alpha =p, bita = qp= 2+1/2=3/2q= 1+(-3)/2= -2/2= -13p^2+2pq+q^2=3(3/2)^2+2×3/2×(-1)+(-1)^2=3×9/4 -2+1=27-8+4/4=23/4

9.

12) The line segment joining the points A(3, 2) and B(5, 1) is divided at the point P inand it lies on the line3x-181、t k = 0. Find the value of ktheratio,:2and B(5, 1) is divi

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10.

Q.12)Thelinesegmentjoiningthe points A(3, 2) and B(5, 1) is divided at the point P in the ratio 1 :2and it lies on the line3x 18y k 0. Find the value of k.

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11.

The area of a circle is equal to the area of a rectangle with sides 112 m and 88 mrespectively. Find the circumference of the circle.nd a square turn-hy turn

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Area of circle= area of rectangleπr^2=l×b22/7×r^2=112×88r=56then,circumfarance of circle=2πr=×222/7 ×56=352 m

12.

find theintercept made by line segment 4x+3y+12is equal to 0

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13.

find theintercept made by line segment 4x+3y+12is equal to 0 with steps

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14.

JUI point A areat are the coordinates of point C2segment(-2, 8), what areof theis reflection of line 3x - 4y = 4, alongWhatr=y?

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Reflection of 3x+4y+5=0 w.r.to the line 2x+y+1=0 is. ... Reflection of 3x+4y+5=0 w.r.to the line 2x+y+1=0 is. Question from...

15.

Q4. A line is such that its segment between the lines5x-y+4 0 and 3x +4y-4-0 is bisected at the point (1,5). Obtain its equation

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16.

19) A line is such that its segment between the lines 5x-y +4=0 and 3x +4y -4 =0 is bisected at thepoint (1,5). Obtain its equation.OR

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17.

Write the equation of the line parallel to y-axis at a distance of +5 units from origin.

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General equation of line is ax+by+c=0

Given, line parallel to y-axis means x=0

Put x=0

by+c=0

Distance from origin is +5 units

So equation is y=5

18.

24 eIll.Iis barricaded from the remaining part of the road, by using 50 hollowbA bus stopmade of recycled cardboard. Each cone has a base diameter of 40 cm and height1 m. If the outer side of each of the cones is to be painted and the cost of painting is12 per m2, what will be the cost of painting all these cones? (Use Tt 3.14 and take1.04 1.02)

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19.

0.88 M cube of iron is melted and moulded in the form of iron rod each of diameter 2 cm and length 7 M how many are formed

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20.

If a wire of 440 m length is moulded in the form of a circle and a square turnfind the ratio of the area of the circle to that of square.

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thanks bro

21.

If a wire of 440 m length is moulded in the form of a circle and a square turn-by-turn,find the ratio of the area of the circle to that of square.

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22.

(a) What is presbyopia ? State its cause. How is it corrected?(b) Why does the Sun appear reddish early in the morning ? Explain with the helpof a labelled diagram.

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a. Long-sightedness caused by loss of elasticity of the lens of the eye, occurring typically in middle and old age.

Most experts believepresbyopiaiscausedby changestothe lens inside the eye. As people age, the lens becomes harderandless elastic, making it more difficult for the eyetofocus on close objects. For centuriespresbyopiawascorrectedwith the use of bifocal eyeglasses.

b. Light from theSunnear the horizon passes through a thicker layer of air and a larger distance in the Earth's atmosphere before reaching our eyes.

However, near the horizon, most of the blue light and shorter wavelengths are scattered.

23.

Find the equations of the circles touching y-axis at (0,3) and making an intercept of8 units on the X-axis.

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24.

find the intercept made by line segment 4x+3y+12 is equal to 0 (answer with steps)

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The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.

Therefore,For equation 4x + 3y + 12 = 0Convert this equation to standard formy = - 4x/3 - 4

Hence, Intercept for given equation is - 4

Equation of the line segment is 4 * x + 3 * y + 12 = 0,so,x - intercept,put, y = 0,x = - 3,y - intercept,put x = 0,y = -4,hence,intercept of the given line segment 4 * x + 3 * y + 12 = 0 is ( -3, -4 ).

25.

Find the equations of the circles touching y-axis at (0,3) and making an intercept of15.8 units on the X-axis.

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26.

find intercept made by line segment 3x-2y-6is equal to 0

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the answer x/2 +y/-3 = 1

the answer x/2 +y/-3 = 1

x/2+y/-3=1 is the right answer

27.

11. Find the lines through the point (0, 2) making angles g and 3 with the r-axis,find the lines parallel to them cutting the y-axis at a distance of 2 units belowtheorigin.t lines which cut off an intercept 5 from the rais

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28.

If O is a point within quadrilateral ABCD, show that OA+OB+OC+OD>AC+BD

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29.

8. If O is a point within a quadrilateral ABCD, showOA+OB+OC+ OD> AC+ BD

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thanks

30.

8. If O is a point within a quadrilateral ABCD, showOA +OB + OC+OD>AC+ BD

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31.

etesminan\left| \begin{array}{ccc}{1} & {2} & {3} \\ {2} & {1} & {1} \\ {3} & {2} & {1}\end{array}\right|

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thank you

32.

) The number of distinct prime factors of the smallest 4 digit numbers

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The smallest 4-digit whole number is 1000, and its prime factors are2 and 5.

Actually, 2 ^ 3 * 5 ^ 3

33.

The digit in unit's place of a number is 5. If the number lies between 150 and 200, will itbcomposite or prime?

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For any integer greater than 5, where the units digit is 5 then that number can be expressed as the product of n and 5. As such, the number is composite.

Therefore all numbers in the range 150 to 200 that have a units digit of 5 are composite,.

34.

Find the equation of the plane passing through the points (2, 1, 0), (3,-2, -2) and (3, 1, 7).

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35.

8.Find the equation of the plane passing through (a, b, c) and parallel to the plane

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36.

32. Find the equation of the plane passing through the intersection of two planesx + 2y + 3z – 4 = 0 and 2x + y - z +5 = 0 and which is perpendicular to the plane5x + 3y -62 +8 = 0.

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325j is the answer br

37.

. Find the equation of the plane passing through point (-1,3,2) andperpendiculars to each of planes x+2y+3z-5 and 3x+3y+z-0.

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thanks sir

38.

ind the equafion of the plane passing through the point (-1,3,2) and perpendiculach of the plares x 2y 3z 5 and 3x + 3y z 0.

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thanks mam

39.

7. Find rif (i) P, 2°P-

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5Pr = 2 * 6P(r-1) 5!/(5-r)! = 2*6!/(6-r+1)! 5!/(5-r)! = 2*6*5!/(7-r)! 1/(5-r)! = 12/((7-r)(6-r)(5-r)!) 42-13r+r*r = 12 r*r - 13r + 30 = 0 (r-10)(r-3) = 0 r = 3,10

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40.

09. Find the equation of the plane passing through the intersection of planes2x y-3z 4and 3x +4y+Rland making equal intercept on coordinates axes

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41.

numberTUselected.11. Four coins are tossed simultaneously. Find the probability of getting(ii) two heads.hels nd g black balls, a ball is draw(i) no head

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1)four tails2)two tails

42.

" Find P(1), if P(x) = 5x2 + 3x-7.

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43.

8. Find x in each of the following75°xl40°

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75+45120

180-120 60

third angle is 60 degree

44.

Write the smallest and the biggest two digit prime number

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smallest two digit prime number is 11biggest two digit prime number is 97.

45.

(1/3)-2+(1/2)-2+(1/4)-2

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46.

11, If P and Q are any two points lyingrespectively on the sidesDC and AD of a parallelogram ABCD then show thatar(AAPB) ar(ABQC).

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ThAnku

47.

98. 7 white balls and 3 black ball are placed in a rowat random. The probability that no two black ballsare adjacent is

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neet balls = 7+3=10let, 2 black balls =1 black balls now, 9 balls er placed in them is : 9! then the probability that two black balls are adjacent is (9!/10!)= (1/10)now, the probability that no two black balls are adjacent is {1-(1/10)}=(9/10)

Placing 7 white balls in a row leaves 8 gaps.

The 3 black balls can be placed in 8 gaps in 8C3 = 8×7×6/3×2×1= 56 ways.

So, the total number of ways of arranging white and black balls such that no two black balls are adjacent = 56*3!*7!

Actual number of arrangements possible with 7 white and 3 black balls = (7+3)! = 10!

Therefore probability that no two black balls are adjacent = 56∗3!∗7!/10!=7/5∗3=7/15

48.

manksshow hat d 2an 243-224-4叭

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49.

\left| \begin array r r 5 & - 2 \\ - 3 & 1 \end array \right| = ?

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Like if you find it useful

50.

\left| \begin{array} { r r } { 2 } & { 4 } \\ { - 5 } & { - 1 } \end{array} \right|

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determinant is = 2 ×(-1) - 4×(-5) = -2 +20 = 18